Eric Trump said three years ago the Trump Organization had “all the funding we need out of Russia” for its golf course projects, according to an author recounting the story of a 2014 meeting with Donald Trump and his son.

The author also said Donald Trump “sort of tossed off that he had access to $100m”.

The author’s comments – which Eric Trump later said were “completely fabricated” – prompted widespread interest in the media and online.

Two congressional committees and the FBI are investigating alleged ties between Trump campaign aides and Russian agents during the 2016 presidential election. US intelligence agencies believe Russia sought to influence that vote in Trump’s favour, in part by hacking emails belonging to the Democratic National Committee (DNC).

Many observers believe Trump’s tax returns – which he refuses, against 40 years of precedent, to release – will contain evidence of financial relationships with Russian sources. The president has repeatedly denied any such links, despite the existence of statements suggesting otherwise made before his run for office.

“Trump was strutting up and down, talking to his new members about how they were part of the greatest club in North Carolina,” Dodson said. “And when I first met him, I asked him – you know, this is the journalist in me – I said: ‘What are you using to pay for these courses?’ And he just sort of tossed off that he had access to $100m.”

Eric Trump, the president’s younger son who is now executive vice-president of the Trump Organization, was also present.

Dodson continued: “So when I got in the cart with Eric, as we were setting off [to play], I said” ‘Eric, who’s funding? I know no banks – because of the recession, the great recession – have touched a golf course. You know, no one’s funding any kind of golf construction. It’s dead in the water the last four or five years.’

He said, ‘Well, we don’t rely on American banks. We have all the funding we need out of Russia'

James Dodson recounting his talk with Eric Trump

“And this is what he said. He said: ‘Well, we don’t rely on American banks. We have all the funding we need out of Russia.’ I said: ‘Really?’ And he said: ‘Oh, yeah. We’ve got some guys that really, really love golf, and they’re really invested in our programs. We just go there all the time.’

“Now that was three years ago, so it was pretty interesting.”

In a tweet issued early on Monday morning, Eric Trump wrote: “This story is completely fabricated and just another example of why there is such a deep distrust of the media in our country.”

Donald Trump has strongly denied many reported links and contacts with Russia. For example, shortly before his inauguration in January he tweeted: “Russia has never tried to use leverage over me. I HAVE NOTHING TO DO WITH RUSSIA – NO DEALS, NO LOANS, NO NOTHING!”

In 2013, however, after hosting the Miss Universe pageant in Moscow, he told Real Estate Weekly: “The Russian market is attracted to me, I have a great relationship with many Russians.” He also said that “almost all of the oligarchs were in the room” at a party he threw.

On Sunday morning, he pursued another tactic, writing on Twitter: “When will the Fake Media ask about the Dems dealings with Russia & why the DNC wouldn’t allow the FBI to check their server or investigate?”

Trump’s older son, Donald Jr, has also made mention of financial relationships in Russia. In 2008, speaking at a real estate conference, he said: “We are looking all over the place, primarily Russia.”

He also said: “And in terms of high-end product influx into the US, Russians make up a pretty disproportionate cross-section of a lot of our assets; say in Dubai, and certainly with our project in SoHo and anywhere in New York. We see a lot of money pouring in from Russia.”

Trump, who has been widely criticized for the amount of time he spends on his own golf courses, spent this weekend at his golf club in Bedminster, New Jersey. On Saturday night, he tweeted: “The reason I am staying in Bedminster, NJ, a beautiful community, is that staying in [New York City] is much more expensive and disruptive. Meetings!”

A picture posted to Instagram by a club member appeared to show the president playing golf.

Dodson, meanwhile, recounted a meal of cheeseburgers and being enveloped in a “bro hug” by Trump, and said: “You know, I liked the guy. I liked him. I mean, he was somebody you’d like to play golf with.”

He also recounted an exchange with Trump about Palmer, the great champion who died in 2016: “He crossed one finger over the other and he said, ‘Arnold and I are like that.’

“And I told Arnold that the next night at dinner and he laughed and said, ‘Really, Shakespeare? It’s more like this.’ And he crossed his hands and put them at his own throat.”